S: (n) parity ((mathematics) a relation between a pair of integers: if both integers are odd or both are even they have the same parity; if one is odd and the other is even they have different parity) "parity is often used to check the integrity of transmitted data"

S: (n) transitivity ((logic and mathematics) a relation between three elements such that if it holds between the first and second and it also holds between the second and third it must necessarily hold between the first and third)

S: (n) function, purpose, role, use (what something is used for) "the function of an auger is to bore holes"; "ballet is beautiful but what use is it?"

S: (n) function, office, part, role (the actions and activities assigned to or required or expected of a person or group) "the function of a teacher"; "the government must do its part"; "play its role"

S: (n) potlatch (a ceremonial feast held by some Indians of the northwestern coast of North America (as in celebrating a marriage or a new accession) in which the host gives gifts to tribesmen and others to display his superior wealth (sometimes, formerly, to his own impoverishment))

S: (n) initiation, induction, installation (a formal entry into an organization or position or office) "his initiation into the club"; "he was ordered to report for induction into the army"; "he gave a speech as part of his installation into the hall of fame"

S: (n) potlatch (a ceremonial feast held by some Indians of the northwestern coast of North America (as in celebrating a marriage or a new accession) in which the host gives gifts to tribesmen and others to display his superior wealth (sometimes, formerly, to his own impoverishment))

Verb

S: (v) function, work, operate, go, run (perform as expected when applied) "The washing machine won't go unless it's plugged in"; "Does this old car still run well?"; "This old radio doesn't work anymore"

S: (v) serve, function (serve a purpose, role, or function) "The tree stump serves as a table"; "The female students served as a control group"; "This table would serve very well"; "His freedom served him well"; "The table functions as a desk"

S: (v) officiate, function (perform duties attached to a particular office or place or function) "His wife officiated as his private secretary"